46632788361 has 12 divisors (see below), whose sum is σ = 67368873780. Its totient is φ = 31083724800.

The previous prime is 46632788357. The next prime is 46632788381. The reversal of 46632788361 is 16388723664.

46632788361 is a `hidden beast` number, since 4 + 6 + 6 + 3 + 278 + 8 + 361 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3266808336 + 43365980025 = 57156^2 + 208245^2 .

It is not a de Polignac number, because 46632788361 - 2² = 46632788357 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 46632788298 and 46632788307.

It is not an unprimeable number, because it can be changed into a prime (46632788341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 338040 + ... + 455561.

It is an arithmetic number, because the mean of its divisors is an integer number (5614072815).

Almost surely, 2^46632788361 is an apocalyptic number.

It is an amenable number.

46632788361 is a deficient number, since it is larger than the sum of its proper divisors (20736085419).

46632788361 is a wasteful number, since it uses less digits than its factorization.

46632788361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800136 (or 800133 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 46632788361 in words is "forty-six billion, six hundred thirty-two million, seven hundred eighty-eight thousand, three hundred sixty-one".